Factor 5x^2-45

Problem

5*x2−45

Solution

1. Identify the greatest common factor (GCF) for both terms in the expression.

2. Factor out the GCF, which is 5 from the expression.

5*(x2−9)

3. Recognize the expression inside the parentheses, x2−9 as a difference of squares.

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=x and b=3

(x−3)*(x+3)

5. Combine the GCF with the factored binomials to write the final factored form.

Final Answer

5*x2−45=5*(x−3)*(x+3)

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